The path a body takes while moving through space under the influence of the gravitational forces of other bodies

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Conservation of Angular Momentum…or not?

This is my first post on physics stack exchange, but I thought the question was more appropriate than on that of math.stack. I'm currently designing a crude model of the sun-earth orbit (which I have ...
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2answers
148 views

In the hydrogen atom, why is the electron orbital spherical rather than flat like a 2D orbit plane?

In a hydrogen atom an electron is orbiting around a proton, similarly to a moon around a planet. The orbit of a moon around a planet is flat (2D) whereas the orbit of an electron around a proton is ...
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1answer
42 views

What happens when the Kepler Space Telescope 'catches up' to Earth?

Kepler is in an earth-trailing orbit with a period of 372.5 days, so it lags behind the Earth about a week each year. Doesn't that mean that, in about 52 years, we'll meet it from the other direction? ...
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50 views

Have there been studies on shapes of orbits or where the orbits would tend to around objects other than spheres?

I have looked on the internet and maybe I am not using the right search terms but I can not find anything concerning this topic. I am looking because I would think if a massive pole structure were ...
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2answers
131 views

Changing orbit of a space shuttle

In the figure here, a space shuttle is initially in a circular orbit of radius r about Earth. At point P, the pilot briefly fires a forward-pointing thruster to decrease the shuttle’s kinetic energy K ...
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1answer
53 views

Veterans Day Memorial in the U.S

For the ones who know about it: How many more times will the Veterans Day Memorial stones' holes "align" perfectly? Some info from this site: At precisely 11:11 a.m. each Veterans Day (Nov. 11),...
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34 views

Lunar orbit homework question

So what I did was find the potential energy of the lander at the 50km orbit and the 300km orbit, then I took the difference between the 2 potential energies and I though that would be the work done by ...
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1answer
66 views

Time spent in eclipse of an object

Well consider an orbit - I'm trying to calculate the exact time spent in the shadow of the body you orbit around. An explanation of "shadow" (sun is positioned to the far left): For a circular ...
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80 views

Graduate level orbital mechanics book

I recently finished an undergraduate course in classical mechanics and really enjoyed the subject, particularly the sections regarding the mechanics of orbits. I am considering pursuing a graduate ...
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3answers
133 views

What is the distance between two objects in space as a function of time, considering only the force of gravity? [duplicate]

What is the distance between two objects in space as a function of time, considering only the force of gravity? To be specific, there are no other objects to be considered and the objects in question ...
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1answer
63 views

Why does Goldstein's derivation of orbits from Newton's law not yield the orbit consisting of symmetric oscillation along a line thru center of Sun?

Why does Goldstein's derivation of Keplerian orbits from Newton's law of gravity not yield the orbit consisting of symmetric oscillation along a line passing thru the center of the Sun? The fact that ...
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2answers
113 views

Center of mass chaotic in n-body gravitational interactions?

I wrote a gravitational particle simulation. To prevent the particles flinging off out of the screen, I added a bit of friction (it also makes the animation prettier as particles spiral into one ...
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51 views

Finding position with respect to time along a trajectory across a sphere (orbital mechanics)

When trying to find an object's position with respect to time on a ballistic trajectory along a curved surface, what equation should I use? I know that when adding force to an object to achieve the ...
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5answers
81 views

Static model of the Earth motion

Believe it or not, an old man I know in 2015 still negates the Earth orbital motion around the Sun. He believes the earth is rotating on itself and acknowledges this gives day and night on every ...
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1answer
87 views

Deriving some uniform circular motion equations

My question basically boils down to this. How do we derive these relationships. 1.)What is the relationship between radius and centripetal force? (inverse, but why?) 2.)What is the relationship ...
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18 views

Can we use the planets and Sun to fling out a craft at relativistic speeds? [duplicate]

E.g. The Voyager crafts took various assists from the planets. Sun being much more massive, wouldn't a spacecraft gain much more energy from such a flyby on the correct trajectory? If so then what ...
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3answers
108 views

(How) can we determine mid-point on Earth's orbit?

The eccentricity of earth's orbit varies with time, but at present time its eccentricity is roughly mean e (0.0167). The position of equinoxes is far more complicated than I thought and it is not at ...
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115 views

From Newton to Kepler without infinitesimals

I've read some interesting calculus-free proofs of at least parts of the derivation of Kepler's Laws from Newton's gravitational force. One is of course Feyman's "Lost Lecture" (which was already ...
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Are there any exact data about Earth's orbit?

Wikipedia says that the Earth's orbit's axis is $a=149\ 598\ 000\ \mathrm{km}$ and its eccentricity is $e=0.016\ 7086$, but if we use these values to find distance at aphelion and perihelion we get $...
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90 views

How much fuel do I need to send cubesat 1kg from Earth orbit to Moon orbit? [closed]

How much fuel do I need to send cubesat 1kg from Earth orbit to Moon orbit? And how much stages? For i.e. C12H22O11 + KNO3, polyethylene + oxygen or kerosene + oxygen.
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1answer
37 views

Acceleration in an elliptical binary system

So I'm having a bit of a problem dealing with binary systems. I'm looking at acceleration in a stellar system and am not sure where to begin. Assuming both stars are of equal masses, they'd be equal-...
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0answers
39 views

Different time between equinoxes

I calculated from here that there are 16 104 096 seconds between the vernal and autumnal equinox, if I made no mistake, this is some 650 592 s longer than the other half orbit. I imagine this is due ...
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Earth to LEO, gravity drag and potential energy

A lot of references indicate takes about 9.4 km/s of delta-v to reach LEO. https://en.wikipedia.org/wiki/Low_Earth_orbit#Orbital_characteristics The delta-v needed to achieve low Earth orbit ...
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3answers
124 views

Explaning Motion of a Man and Spacecraft Orbiting the Earth [closed]

A man and spacecraft is orbiting around the earth. The man is outside the spacecraft and is not connected to the spacecraft in any way. The distance between the man and the spacecraft remain constant. ...
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1answer
130 views

Orbital equations of motion with respect to energy

Consider the equations of motion of an object in an orbit around a central body. We use an inertial frame originating at centre of mass of the central body: $$ \frac{d\mathbf{r}}{dt} = \mathbf{V} \tag{...
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89 views

Calculating mass of an orbiting body with force and acceleration

I'm new to physics, and it's a lot to take in- but there is a problem that I really can't seem to wrap my head around- finding the mass of an orbiting body, like an asteroid. I've looked around a lot ...
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1answer
297 views

Relation of orbital speed and eccentricity

Earth's eccentricity is 0. 0167 and speed at perihelion is 30.3 Km/s and at aphelion 29.3 with a difference of +/- 1. 0164 wrt average orbital speed Is this a coincidence or are the variations of ...
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75 views

Why do they think WT1190F is low density?

A piece of space debris WT1190F is in the news in part because it has been far from earth (farther than lunar distance) in the past but will re-enter earth's atmosphere in a few weeks. See this note ...
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1answer
127 views

Relation of orbital radius with linear velocity of satellite [closed]

If a planet is going around the sun in a circular orbit , and if suddenly (impulsively) it's orbital radius was increased , what would happen to the linear velocity of planet (With reason)
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36 views

Efficient orbit transfer

Well simple orbital (in plane) manoeuvres are quite easy and straight forward. Currently I found however an orbit I have a hard time calculating/reasoning the ideal path to get to. - Just as a note, ...
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1answer
54 views

What is the time of impact of a dropped item at a very high altitude [duplicate]

I'm trying to automate a landing at a specific spot in Kerbal Space Program and to do that I need to know when the estimated time of impact will be. In short, I'm trying to solve the following ...
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0answers
26 views

Time of an elliptical orbit

We know that T, the time of a revolution in an elliptical orbit is equal to the time of a circular orbit, can you tell what is the formula that relates time elapsed and space travelled (on the major ...
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1answer
59 views

Relativistic effects of an orbit around sun in a different direction than Earth

If I manage to orbit around the sun at the same speed but in a different direction than the earth, will I perceive the time on earth going faster or slower than my own time? And what about people on ...
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1answer
18 views

Solving a first order non linear differential equation in the specific case of the orbit of a particle moving under a central conservative force

Hello it's my first time posting in here and I hope someone in here can help me as my teachers quite dislike questions that aren't specifically in the curriculum. I'm reading About classical mechanics ...
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3answers
2k views

What happens if you slow down a moon?

Let's say you'd put a whooping big rocket engine on the surface of the moon, and slow down its orbital velocity. Not to a complete stop, mind you. Just a bit slower than it was going before (a couple ...
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1answer
111 views

How do I calculate the effect of a prograde, retrograde, radial and anti-radial burn on the orbital elements of a two-dimensional orbit?

My relevant knowledge: This question works in two dimensions, with a two-body problem (see bottom for context). To my understanding, a two-dimensional orbit has the following orbital elements (3D ...
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2answers
104 views

Circular motion relationships

Using the formula $F=mv^2/r$ I have rearranged the formula and found that the radius is proprtional to the velocity squared. I then found a website that affirms the relationship that I found. On the ...
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2answers
132 views

Why/How do the coefficients associated with atomic orbitals superposed to form hybrid orbital determine their spatial orientation?

In my previous Phys.SE question, I asked for why $ \newcommand{\k}[2]{\langle #1|#2 \rangle} c_1,c_2,c_3,c_4$ in $$\psi_{sp^3}= c_1\psi_{2s}+ c_2\psi_{2p_{x}} + c_3\psi_{2p_y}+ c_4\psi_{2p_{z}}$$ ...
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2answers
111 views

Calculate the Earth’s velocity in its orbit (assumed to be circular) around the Sun [closed]

Data: GM of the Sun: $\text{GM} = 1.327 \times 10^{20} \;\mathrm{m^3 s^{-2}}$ Radius of the Earth’s orbit: $r_{Earth} = 1.496 \times 10^{11} \;\mathrm{m}$ Orbital period of a planet in seconds: $T = ...
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2answers
110 views

Central force law

An object has an orbit in polar coordinates as $r(\theta) = a\theta^2$ (where $a$ is constant). Assuming the central force is directed towards the origin $r=0$, how can I know which central force law ...
2
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1answer
78 views

What equations are needed to describe how two bodies interact?

For a small project I am thinking about making a 2D game in which there are two planets, each of a random size, and when you run the game it will show how those planets interact due to gravity. I'm ...
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26 views

Collisions with the earth [duplicate]

The earth is traveling around the sun at around 65,000 mph. An asteroid or other large object is traveling around 35,000 mph. Depending on the direction of the impact, the object could strike head on ...
2
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1answer
55 views

Given an equation of an elliptical orbit, is it possible to find satellite´s speed at a certain point?

As the heading says: given an equation of an elliptical orbit, is it possible to find satellite´s speed at a certain point? I'm playing a bit with simulations of planets and satellites in the solar ...
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1answer
52 views

Would it be possible to have a planetary system where one planet is in continuous shade?

When I ask this I'm thinking of a system similar to ours, but the orbits are perfectly staggered and all planets involved have orbital periods such that when the planet (or small moon, whichever works ...
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2answers
58 views

Can tidal forces significantly alter the orbits of satellites?

I would assume that there are other larger, more significant, forces acting on artificial satellites, but can tidal forces drastically alter the orbit of a satellite over time? I was thinking this ...
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1answer
45 views

Can a natural satellite have a synchronous orbit?

I was thinking about space-elevators and large masses being put into geosynchronous orbit, when I considered the possibility of a natural satellite being in a synchronous orbit. I did a little digging ...
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1answer
82 views

Will the Earth's rotation someday be synchronized with its revolution around the Sun?

When will the earth act like the moon with regard to one side of the moon always facing the earth. Will the earth one day get locked in a rotational orbit that has one side of the planet facing the ...
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1answer
195 views

How to calculate escape velocity and orbital velocity for a cubular planet?

Given a planet that is a cube, how would one calculate the escape velocity and the orbital velocity? For a circular planet with an even distribution of mass (aka center of mass=center of volume) the ...
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1answer
150 views

What is the potential and kinetic energy of the international space station?

I know it's possible to calculate, but what formulas would I use to be as accurate as possible? I'd like to see how it works for something big and high like that.